If they really hate it, at least they should give user option to use different coordinator. I expect someone will try to run their own coordinator.
I tend to not comment on technologies I'm not familiar with but I believe that in CoinJoin protocol using a centralized coordinator is only one of the ways of doing things (the easiest way). There is another way that doesn't introduce this single point of failure.
Does the totally private version need to have a server at all? What if it gets shut down?
No. The same privacy can be achieved in a decentralized manner where all users act as blind-signing servers. This ends up needing n^2 signatures, and distributed systems are generally a lot harder to create. I don't know if there is, or ever would be, a reason to bother with a fully distributed version with full privacy, but it's certainly possible.